Which expression can be used to find the sum of the polynomials 9 3x² 8x² 4x 5?

a) , 36 : '22 in its simplest form is 18 : 11., d) the mean is 301.25.

a) To express 36 : '22 in its simplest form, we need to find the greatest common divisor (GCD) of 36 and 22. The GCD of 36 and 22 is 2. Divide both numbers by the GCD to simplify the fraction. 36 ÷ 2 = 18 and 22 ÷ 2 = 11. So, 36 : '22 in its simplest form is 18 : 11.

b) To express the fractions x 3 2 and I in equivalent fractions with a denominator of 20, we need to multiply the numerator and denominator by the same number. For x 3 2, multiply both the numerator and denominator by 10. This gives us x 3 2 = 10 x 3 2 ÷ 2 10 ÷ 2 = 15 1. For I, multiply both the numerator and denominator by 20. This gives us I = 1 x 20 2 x 20 = 20 40.

c) To evaluate Workout;+;—§, substitute the values into the expression: 2 + 5 - 4 ÷ 2. Start by performing the division: 4 ÷ 2 = 2. Then, perform the addition: 2 + 5 = 7. Finally, perform the subtraction: 7 - 2 = 5.

d) To find the mean of the dataset: 301, 285, 21, 351, 35, 2135, 311, 25, 45, 310, 301, 305, add up all the numbers and divide by the total number of values. Adding all the numbers together gives us 3615. Since there are 12 numbers in the dataset, the mean is 3615 ÷ 12 = 301.25. Rounded to two decimal places, the mean is 301.25.

know more about simplest form

https://brainly.com/question/23302257

#SPJ11

The possible outcomes of water pollution include ecosystem disruption, public health risks, economic losses, and damage to aquatic life. However, one outcome that is unlikely to result from water pollution is the improvement of water quality and ecological balance.

Water pollution can have severe consequences for ecosystems, human health, and the economy. One possible outcome is the disruption of the ecological balance within aquatic environments. Pollutants such as industrial waste, agricultural runoff, and chemical contaminants can harm aquatic organisms and disrupt their natural habitats. This disruption can lead to the decline or extinction of certain species, affecting the overall biodiversity of the ecosystem.

Water pollution can also pose significant risks to public health. Contaminated water sources can transmit harmful pathogens, leading to waterborne diseases such as cholera, typhoid, or hepatitis. Exposure to polluted water can also result in skin irritations, respiratory problems, and other health issues, especially in communities that rely on contaminated water sources for drinking, cooking, and sanitation.

Furthermore, water pollution can have economic consequences. Contaminated water sources may become unusable for various purposes, including agriculture, industrial processes, and recreational activities. This can result in economic losses for farmers, businesses, and communities that depend on clean water for their livelihoods. Additionally, the costs associated with water treatment and pollution cleanup can be substantial, further impacting the economy.

However, one outcome that is not likely to result from water pollution is the improvement of water quality and ecological balance. Water pollution is caused by the introduction of harmful substances into water bodies, and it requires proactive measures to mitigate and prevent further pollution. Without appropriate actions and interventions, water pollution is unlikely to lead to the improvement of water quality or the restoration of ecological balance. Therefore, this outcome is not typically associated with water pollution.

Learn more about outcome here:

https://brainly.com/question/17238771

#SPJ11

Answer:

The significance test that would be used to investigate whether there is convincing evidence at 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream is option C;

C. A linear regression t-test for slope

Step-by-step explanation:

The linear regression t-test for slope is a test for determining the existence of a statistically significant linear relationship between two variables, a independent variable, X and an dependent variable Y in the following form;

Y = B₀ + B₁·X

The test is used to test the regression line slope where we have;

B₀ = The constant

B₁ = The slope also known as the regression coefficient

The given information tested in the question is if an increase in the peaches in the ice cream is associated with an increase in the density of the ice cream, therefore, the test to investigate the relationship between the rate of both variables is the linear regression t-test for slope.

Therefore, we have

Y = B₀ + B₁·X

Where;

X = The percentage of peaches in the ice cream

Y = The density of the ice cream

Answer:

false

Step-by-step explanation:

i had this one

Answer: 84

Step-by-step explanation: 110% of 40 is 44

                                                                         40+44=84

Answer:

-8 is the answer

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer:

-8

Step-by-step explanation:

Make a reciprocal of -1/4. Then multiply 2 by -4.

EG is parallel to FH and AD is the transversal.

We know that the interior angles on the same side of the transversal are supplementary.

Angle EBC and Angle FCB are interior angles on the same side of the transversal.

So, Angle EBC + Angle FCB = 180°

=> Angle EBC + 76° = 180°

=> Angle EBC = 180° - 76°

=> Angle EBC = 104°.

Answer — 104°

According to the scree plot, if we want to preserve 80% of the variance, the smallest projection dimension d would be 5.

The scree plot is a diagnostic tool in factor analysis that aids in determining the number of significant factors to retain. It plots eigenvalues against factor number, with the first factor representing the highest variance in the data set.

The scree plot represents the eigenvalues of the factors. The total variance in the original dataset can be expressed as the sum of the eigenvalues of the factors. If we choose to retain fewer factors, the overall variance preserved will be less, resulting in less precise results.

If we want to keep the most variance possible while maintaining a reasonable level of abstraction, we can look at the scree plot's “elbow.” This represents a point on the scree plot where the eigenvalues decrease dramatically.

Therefore, We should retain all of the factors to the left of the elbow, as they represent the most significant eigenvalues that account for the most variance in the data. If we want to preserve 80% of the variance, the smallest projection dimension d would be 5.

To know more about variance refer here:

https://brainly.com/question/14116780

#SPJ11

C. 7/2x -2.

Because slope is positive, y intercept is -2.

7/2 because if rise over run

Branliest would be appreciated if this helped

The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

To know more about IQR visit:

https://brainly.com/question/31207390

#SPJ4

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

To know more about unnormalized relation click this link -

brainly.com/question/30888382

#SPJ11

Answer:

a) (15 × 32) + (15 × 68)

b) Distributive property

c) $1500

Step-by-step explanation:

A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre,

a. Write a numerical expression for the given statement.

The numerical expression for the given statement is written as:

$15 × 32 liters + $15 × 68 liters

15 × 32 + 15 × 68

B. Which property of whole numbers would you use to form a numerical expression for the given statement?

The property that I would use to form a numerical expression is a distributive property

a × (b + c) = (ab + ac)

Where a = $15

b = 32 liters

c = 68 liters

Hence:

15 (32 + 68) = (15 × 32) + (15 × 68)

C. How much money he gets per day for the supply?

The amount he gets per day:

15 (32 + 68) = (15 × 32) + (15 × 68)

= $1500

Let:

Points of the parallelogram

We can verify that it is a parallelogram if it satisfies the following conditions:

Two pairs of opposite sides are parallel.

Two pairs of opposite sides are equal in length.

Two pairs of opposite angles are equal in measure.

The diagonals bisect each other.

One pair of opposite sides is parallel and equal in length.

Adjacent angles are supplementary.

In order to make things a little quicker we can verify the following:

And:

answer is

-2

that is option b

angle LJM is approximately (180-66.1) = 113.9 degrees.The answer choices do not match either of these angles exactly, so we must round to the nearest degree. Since 0.9 is closer to 1 than 0, we round up to 114 degrees. This corresponds to answer choice (d), 54.

We can use the fact that the sum of the measures of angles in a straight line is 180 degrees to solve this problem.

Let angle KJL be x degrees. Then, angle LJM is (180-x) degrees, since angles KJL and LJM form a straight line.

We can use the fact that the lengths of KJ and LJ are given as 5m and 7m, respectively, along with the Law of Cosines to find x:

\((7m)^2 = (5m)^2 + LJ^2 - 2(5m)(LJ)cos(x)\\49m^2 = 25m^2 + 49m^2 - 70m^2cos(x)\\24m^2 = 70m^2cos(x)\)

cos(x) = 24/70

x = \(cos^-1(24/70)\) ≈ 66.1 degrees

Therefore, angle LJM is approximately (180-66.1) = 113.9 degrees.

The answer choices do not match either of these angles exactly, so we must round to the nearest degree. Since 0.9 is closer to 1 than 0, we round up to 114 degrees. This corresponds to answer choice (d), 54.

Learn more about angle here

https://brainly.com/question/28451077

#SPJ1

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

Answer:

multiply opposite side and the answer is ready now because check your soulation

In other words, the triangles are consistent if the hypotenuse and one of the legs of one right triangle agree with the hypotenuse and one of the legs of another right triangle.

Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them. Two triangles must have the same angles and, as a result, must be congruent if their sides are the same.

Two right triangles are supposed to be consistent on the off chance that they are of a similar shape and size. All in all, two right triangles are supposed to be consistent in the event that the proportion of the length of their comparing sides and their relating points is equivalent.

Right triangles are harmonious in the event that both the hypotenuse and one leg are a similar length. These triangles are harmonious by HL or hypotenuse leg.

To learn more about congruent triangles refer to:

https://brainly.com/question/2938476

#SPJ4

However, this answer does not make sense, as angles in a triangle cannot be negative. This means that there is no solution to this problem .

To solve this problem, we can use the fact that the sum of the angles in a triangle is 180 degrees.

Let's first find the measure of angle P:

m∠P + m∠Q + m∠R = 180

Substituting in the given measures:

(x + 13) + (10x + 13) + (2x - 2) = 180

Simplifying and solving for x:

13x + 24 = 180

13x = 156

x = 12

So m∠P = (x + 13) = 25 degrees.

Next, we can use the fact that the angles opposite equal sides in a triangle are congruent. Since we know that PR and QR are equal, we have:

m∠P = m∠R

So m∠R = 25 degrees.

Finally, we can find m∠Q:

m∠Q = m∠P + m∠R - 180

Substituting in the values we found:

m∠Q = 25 + 25 - 180 = -130

However, this answer does not make sense, as angles in a triangle cannot be negative. This means that there is no solution to this problem.

To know more about angles in a triangle click here:

brainly.com/question/30381855

#SPJ1

(a) The graph of y = e√x is sketched, and the region R is shaded. (b) The integral ∫[0, a] e√x dx is written as the expression for the area of region R. (c) The integral from part (b) is evaluated using substitution and integration by parts to find the area of region R.

(a) The graph of y = e√x represents a curve that starts at the origin and increases exponentially as x increases. The region R is the area under this curve, bounded by the y-axis and the line y = e. It is shaded to indicate the enclosed region.

(b) To find the area of region R, we need to integrate the function e√x with respect to x. The integral from x = 0 to x = a represents the area of the region bounded by the curve, the y-axis, and the line y = e. Thus, the integral is ∫[0, a] e√x dx.

(c) To evaluate the integral, we can make the substitution u = √x, which transforms the integral to ∫[0, √a] 2e^u u du. Then, using integration by parts, we let dv = u du and differentiate u to find v = u^2/2. Applying the integration by parts formula, we obtain [u^2/2 * e^u] evaluated from 0 to √a minus the integral of v du. Simplifying and evaluating the limits, we find the area of region R.

Learn more about differentiate here:

https://brainly.com/question/24062595

#SPJ11

One pound is equal to approximately 2 cups.

It's important to note that this conversion is an approximation and may not be exact, especially if you are measuring ingredients like flour or sugar, which can be packed differently.

To ensure accurate measurements, it's best to use a kitchen scale to measure ingredients by weight.

In conclusion, 1 pound is approximately equal to 2 cups. When converting between pounds and cups, it's important to keep in mind that this conversion may not be exact, especially when measuring ingredients like flour or sugar.

to know more about cups in pound refer here

https://brainly.com/question/13947362#

#SPJ11

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

The statement that best describes the Central Limit Theorem is (a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.

The Central Limit Theorem (CLT) states that if repeated random samples is taken from a population with a finite mean and standard deviation, then the distribution of the sample means will approach a normal distribution, even if the original population is not normally distributed.

The larger the sample size, the more closely the sample means will approximate a normal distribution.

which means that, for example, if we take multiple samples of size 100 from a population and calculate the average of each sample, the distribution of those sample means will be approximately normally distributed, regardless of the original shape of the population.

The given question is incomplete , the complete question is

Which best describes what the Central Limit Theorem states ?

(a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.

(b) All distributions have the same mean.

(c) The distribution of standard deviations of random samples pulled from a population will be normally distributed if the sample size is large enough.

(d) All distributions are close enough to normally distributed to use the normal distribution as a approximation.

Learn more about Central Limit Theorem here

https://brainly.com/question/18403552

#SPJ4

Answer:

hope this helps

Step-by-step explanation:

what do you have to do